Mechanical Prop...

The area of cross-section of the wider tube show in figure is $$800 { cm^2 }$$. If a mass of $$12 kg$$ is placed on the massless piston, the difference in heights $$h$$ in the level of water in the two tubes is :

The diagram (fig.) shows a venturimeter, through which water is flowing. The speed of water at X is 2 cm/sec. The speed of water at Y (taking $$g=1000 cm/sec^2)$$ is:

Which of the following is the incorrect graph for a sphere falling in a viscous liquid? (Given at $$t=0$$, velocity $$v=0$$ and displacement $$x=0$$)

A long capillary tube of radius '$$r$$' initially just vertically completely imerged inside a liquid of angle of contact $${ 0 }^{ \circ  }$$. If the tube is slowly raised then relation between radius of curvature of miniscus inside the capillary tube and displacement $$(h)$$ of tube can be represented by

The displacement of a ball falling from rest in a viscous medium is plotted against time. Choose a possible option:

A large tank is filled with water (density$$= { 10 }^{ 3 } kg/{ m }^{ 3 }$$). A small hole is made at a depth $$10 m$$ below water surface. the range of water issuing out of the hole is R on ground. What extra pressure must be applied on the water surface so that the range becomes $$2R$$ ( take $$1atm={ 10 }^{ 5 } Pa$$ and  $$g=10 m/{ s }^{ 2 }$$)

A barometer tube, containing mercury, is lowered in a vessel containing mercury until only $$50 cm$$ of the tube is above the level of mercury in the vessel. If the atmospheric pressure is $$75 cm$$ of mercury, what is the pressure at the top of the tube

Equal volumes of two immiscible liquids of densities $$\rho$$ and $$2\rho$$ are filled in a vessel as shown figure. Two small holes are punches at depth $$h/2$$ and $$3h/2$$ from the surface of lighter liquid. If $${ v }_{ 1 }$$ and $${ v }_{ 2 }$$ are the velocities of a flux at these two holes then $${ v }_{ 1 }/{ v }_{ 2 }$$ is :

A cylidrical drum, open at the top, contains 30 litres of water. It drains out through a small opening at the bottom. 10 litres of water comes out in time $$t_1$$, the next 10 litres in further time $$t_2$$ and the last 10 litres in further time $$t_3$$. Then,

A water tank is filled with water upto height H. A hole is made in a tank wall at a depth D from the surface of water. The distance X from the lower end of wall where the water stream from tank strikes the ground is: